Answer:
tan 72° = h/30
h = 30 tan 72°
h = 92.33
The ladder reaches a height of 92.33 ft.
 
        
             
        
        
        
Answer:
x = 10
Step-by-step explanation:
x = 4 + (4x-4) ^ (1/2)
 First, we rewrite the expression:
 x = 4 + (4x-4) ^ (1/2)
 x = 2 (2+ (x-1) ^ (1/2))
 x = 4 + 2 (x-1) ^ (1/2)
 From here we get a solution for x = 10
 To check it we substitute x = 10 in the expression:
 10 = 4 + 2 (10-1) ^ (1/2)
 10 = 4 + 2 (9) ^ (1/2)
 10 = 4 + 2 (3)
 10 = 4 + 6
 10 = 10
 Answer:
 The solution is:
 x = 10
 
        
                    
             
        
        
        

Applying the factorization method, for example:
       
                
               

Applying the factorization method:
           
              
             